349890561 has 6 divisors (see below), whose sum is σ = 505397490. Its totient is φ = 233260368.

The previous prime is 349890547. The next prime is 349890581. The reversal of 349890561 is 165098943.

It is a happy number.

349890561 is a `hidden beast` number, since 3 + 4 + 9 + 89 + 0 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 242892225 + 106998336 = 15585^2 + 10344^2 .

It is not a de Polignac number, because 349890561 - 2¹⁰ = 349889537 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (349890581) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19438356 + ... + 19438373.

It is an arithmetic number, because the mean of its divisors is an integer number (84232915).

Almost surely, 2^349890561 is an apocalyptic number.

It is an amenable number.

349890561 is a deficient number, since it is larger than the sum of its proper divisors (155506929).

349890561 is a wasteful number, since it uses less digits than its factorization.

349890561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38876735 (or 38876732 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 349890561 is about 18705.3618248886. The cubic root of 349890561 is about 704.6564132326.

The spelling of 349890561 in words is "three hundred forty-nine million, eight hundred ninety thousand, five hundred sixty-one".